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Finding the Fourth Proportional to 2,197.16, 3,296.23 and 637.18

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Solution

The fourth proportional to 2,197.16, 3,296.23 and 637.18 is: 955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.16 : 3,296.23 = 637.18 : x
  2. Step 2: Convert to fraction form
    2,197.16/3,296.23 = 637.18/x
  3. Step 3: Cross multiply
    2,197.16x = 3,296.23 × 637.18
  4. Step 4: Simplify right side
    2,197.16x = 2,100,291.83
  5. Step 5: Solve for x
    x = 2,100,291.83/2,197.16
  6. Step 6: Final answer
    x = 955.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.